We say a Riemannian manifold \((M,g)\)  is conformally compact, if it is conformally equivalent to
a domain contained in a compact manifold without boundary. In their paper [1]}, G. Carron and M. Herzlich proved that
if a complete manifold \((M,g)\)  is conformally compact with \(\mathrm {vol}(B(x_0 , r)) = O(r^n)\)  for some point \(x_0\) , and if the scalar curvature of \(g\)  is in \(L^\frac{n}{2}\) 
, then \((M,g)\)  is conformally equivalent to
a closed manifold with finite points removed. Their result inspires us that the Euclidean growth of volume
should be a geometric obstacle for Huber's Theorem when the scalar curvature is in \(L^\frac{n}{2}\) .
